5282719585920 has 1280 divisors, whose sum is σ = 21849960844800. Its totient is φ = 1191407616000.

The previous prime is 5282719585909. The next prime is 5282719585931. The reversal of 5282719585920 is 295859172825.

5282719585920 is a `hidden beast` number, since 5 + 2 + 8 + 27 + 1 + 9 + 585 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5282719585909) and next prime (5282719585931).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12548027310 + ... + 12548027730.

It is an arithmetic number, because the mean of its divisors is an integer number (17070281910).

Almost surely, 2^{5282719585920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5282719585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10924980422400).

5282719585920 is an abundant number, since it is smaller than the sum of its proper divisors (16567241258880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5282719585920 is a wasteful number, since it uses less digits than its factorization.

5282719585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 63.

The spelling of 5282719585920 in words is "five trillion, two hundred eighty-two billion, seven hundred nineteen million, five hundred eighty-five thousand, nine hundred twenty".